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Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

Imagine you were given the chance to win some money... and imagine you had nothing to lose...

Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

Was it possible that this dangerous driving penalty was issued in error?

The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.

Here's a chance to work with large numbers...

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?